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Finding the Third Proportional to 332,477 and 706,385

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Solution

The third proportional to 332,477 and 706,385 is: 1,500,794.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    332,477 : 706,385 = 706,385 : x
  2. Step 2: Convert to fraction form
    332,477/706,385 = 706,385/x
  3. Step 3: Cross multiply
    332,477x = 706,385 × 706,385
  4. Step 4: Simplify right side
    332,477x = 498,979,768,225
  5. Step 5: Solve for x
    x = 498,979,768,225/332,477
  6. Step 6: Final answer
    x = 1,500,794.85

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.